SOLUTION: square root of 2x-1 (-) the square root of x-5 = 3
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Question 53925: square root of 2x-1 (-) the square root of x-5 = 3
Answer by funmath(2933) (Show Source): You can put this solution on YOUR website!
x-41=0
x-41+41=0+41
x=41
x-5=0
x-5+5=0+5
x=5
It appear that the solutions are x={5,41}. However, you have to be especially careful to check problems that involve even roots for extraneous (false) solutions.
Substitute 5 back into the original equation:
3-0=3
3=3 (x=5 checks out)
Substitute 41 back into the original equation:
9-6=3
3=3 (x=41 checks out)
We can now safely say that x={5,41}
Happy Calculating!!!!
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